Text, sounds, images, videos. The transmission of digital information in any form is omnipresent in today’s technology: over the Internet, using satellite communication, while reading a DVD, a BlueRay, a bar-code or a credit card number. Meanwhile, the transmission of these types of information must satisfy a lot of constraints: optimizing the size of transmitted messages in order to reduce the bandwidth of an information channel, correcting channel errors, protecting the secrecy and the authenticity of transmissions, while constantly improving the computational speed of all these transformations.

In “Théorie des codes : Compression, Cryptage, Correction”, Jean-Guillaume Dumas, Jean-Louis Roch, Éric Tannier and Sébastien Varrette present a unified theory of the mathematical and computational principles underlying these technological advances, focusing on the algebraic structures and complex algorithmic developments of today’s telecommunication protocols.

Théorie des codes : Compression, Cryptage, Correction. Jean-Guillaume Dumas, Jean-Louis Roch, Éric Tannier and Sébastien Varrette.
Dunod, 415 pages, 3rd Edition, June 2018.